Hi, don't close them up completely obviously, what you want is a Beehive Entrance Block rather than a mouse guard. If you Google Beehive Entrance block you'll see plenty of examples. Some close the entrance up to just enough space for one bee to go in or out, this makes for an easy to defend entrance. If you have lots of small entrances the bees might forget to defend some and that's it.
Especially at this time of year because wasps will be looking for a way in too !!